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1056980232 = 2333711103617
BaseRepresentation
bin111111000000000…
…011110100001000
32201122220011022000
4333000003310020
54131041331412
6252514431000
735123120010
oct7700036410
92648804260
101056980232
114a2701990
12255b92460
1313ac9a7b9
14a0540c40
1562bd94dc
hex3f003d08

1056980232 has 256 divisors, whose sum is σ = 3702067200. Its totient is φ = 271434240.

The previous prime is 1056980207. The next prime is 1056980257. The reversal of 1056980232 is 2320896501.

1056980232 is a `hidden beast` number, since 10 + 569 + 80 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1056980207) and next prime (1056980257).

It is a super-2 number, since 2×10569802322 = 2234414421677547648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712788 + ... + 1713404.

It is an arithmetic number, because the mean of its divisors is an integer number (14461200).

Almost surely, 21056980232 is an apocalyptic number.

1056980232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056980232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851033600).

1056980232 is an abundant number, since it is smaller than the sum of its proper divisors (2645086968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056980232 is a wasteful number, since it uses less digits than its factorization.

1056980232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1056980232 is about 32511.2323974346. The cubic root of 1056980232 is about 1018.6436643526.

The spelling of 1056980232 in words is "one billion, fifty-six million, nine hundred eighty thousand, two hundred thirty-two".